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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 255 · 40 questions
TalentJR

The method (LCM units): Take the whole job as the LCM of the days. Units a day for each person = job ÷ their days. Add for working together. Days = job ÷ units a day. The answer can be a fraction like 20/9 days. Someone works a few days and stops: find what is left, then share it out.

NameDateTime takenScore ___ / 40
  1. 1.Dev can finish a job in 6 days and Aarav in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  2. 2.Rahul can finish a job in 8 days and Manav in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  3. 3.Tara can finish a job in 15 days and Diya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Rohan can finish a job in 11 days and Priya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Farhan can finish a job in 16 days and Dev in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Aditya can finish a job in 4 days and Farhan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Arjun can finish a job in 4 days and Meera in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  8. 8.Kabir can finish a job in 5 days and Zoya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Diya can finish a job in 17 days and Ananya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Priya can finish a job in 6 days and Tara in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Vivaan can finish a job in 17 days and Ananya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Vivaan can finish a job in 17 days and Diya in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  13. 13.Diya can finish a job in 11 days and Rohan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Isha can finish a job in 21 days and Rahul in 7 days. Isha works alone for 12 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  15. 15.Dev works twice as fast as Meera. Together they finish a job in 7 days. How many days would Meera take alone?
  16. 16.Aditya can finish a job in 9 days and Zoya in 18 days. Aditya works alone for 1 day and then stops. Zoya finishes the rest. How many days does Zoya take?
  17. 17.Ishaan and Diya together finish a job in 3 days. Ishaan alone takes 12 days. How many days would Diya take alone?
  18. 18.Vivaan can finish a job in 14 days and Saanvi in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Rohan can finish a job in 6 days and Aarav in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Rohan works twice as fast as Sneha. Together they finish a job in 4 days. How many days would Sneha take alone?
  21. 21.Vivaan can finish a job in 14 days and Ananya in 6 days. Vivaan works alone for 7 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  22. 22.Zoya works twice as fast as Ananya. Together they finish a job in 2 days. How many days would Ananya take alone?
  23. 23.Pooja can finish a job in 11 days and Rohan in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Isha can finish a job in 14 days and Vivaan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Meera can finish a job in 14 days and Karan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Sneha can finish a job in 8 days and Rahul in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Karan works twice as fast as Ananya. Together they finish a job in 6 days. How many days would Ananya take alone?
  28. 28.Pooja can finish a job in 9 days and Kavya in 18 days. Pooja works alone for 7 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  29. 29.Manav can finish a job in 4 days and Kabir in 8 days. Manav works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  30. 30.Rahul works three times as fast as Diya. Together they finish a job in 7 days. How many days would Diya take alone?
  31. 31.Saanvi and Manav together finish a job in 6 days. Saanvi alone takes 7 days. How many days would Manav take alone?
  32. 32.Tara can finish a job in 17 days and Dev in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Zoya and Kavya together finish a job in 4 days. Zoya alone takes 5 days. How many days would Kavya take alone?
  34. 34.Tara works three times as fast as Diya. Together they finish a job in 4 days. How many days would Diya take alone?
  35. 35.Saanvi and Karan together finish a job in 2 days. Saanvi alone takes 6 days. How many days would Karan take alone?
  36. 36.Isha can finish a job in 4 days and Manav in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Tara works three times as fast as Arjun. Together they finish a job in 8 days. How many days would Arjun take alone?
  38. 38.Saanvi can finish a job in 14 days and Arjun in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Ishaan can finish a job in 12 days and Zoya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Meera works three times as fast as Aditya. Together they finish a job in 3 days. How many days would Aditya take alone?

Answer key

  1. 11/16
  2. 75/136
  3. 15/4
  4. 33/14
  5. 16/3
  6. 10/3
  7. 5/16
  8. 35/12
  9. 32/255
  10. 21/5
  11. 68/21
  12. 36/323
  13. 99/20
  14. 3
  15. 21
  16. 16
  17. 4
  18. 126/23
  19. 12/5
  20. 12
  21. 3
  22. 6
  23. 52/165
  24. 14/3
  25. 140/17
  26. 16/3
  27. 18
  28. 4
  29. 4
  30. 28
  31. 42
  32. 36/323
  33. 20
  34. 16
  35. 3
  36. 12/5
  37. 32
  38. 154/25
  39. 48/7
  40. 12

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